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1. Convert Online
2. Mathematics
3. Geometry
4. Arc Length

\(r\)

(radius)

units

\(θ\)

(angle)

degrees

Arc Length

units

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How to use this Arc Length Calculator 🤔

1. Enter ✎ value for radius \((r)\).
2. Enter ✎ value for angle \((θ)\).
3. As soon as you enter the required input value(s), the Arc Length is calculated immediately, and displaed in the output section (present under input section).

Arc Length

In a sector, the length of arc is distance on the sector that is the part of the circumference of the respective circle.

Formula

To calculate the arc length, you can use the following formula.

Arc Length = \( r θ \frac{\pi}{180} \)

where

Calculation

{
  "topic": "arc-length",
  "img": {
    "width": 230,
    "height": 260
  },
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "r",
    "θ"
  ],
  "input_values": [
    "8",
    "60"
  ],
  "input_units": [
    "units",
    "degrees"
  ],
  "input_descriptions": [
    "radius",
    "angle"
  ],
  "examples": [
    {
      "r": 10,
      "θ": 180
    },
    {
      "r": 2,
      "θ": 45
    }
  ],
  "type": "Calculate",
  "title": "Arc Length",
  "category": "Geometry",
  "shape": "Sector",
  "formula": " r * θ * ( Math.PI / 180 ) ",
  "formula_mathjax": "\\( r θ \\frac{\\pi}{180} \\)",
  "formula_mathjax_sub": "\\( r \\times θ \\times \\frac{\\pi}{180} \\)",
  "op_label": "Arc Length",
  "output_unit": "units",
  "description": "The arc length calculator calculates the length of arc of a sector by taking its radius and sector angle as inputs.",
  "explanation": "In a sector, the length of arc is distance on the sector that is the part of the circumference of the respective circle."
}